Fluctuation-dissipation theorem and quantum tunneling with dissipation

Details Fluctuation-dissipation theorem and quantum tunneling with dissipation Fluctuation-dissipation theorem and quantum tunneling with dissipation

1998-02-05

arxiv.org/abs/hep-th/9802025v1

Phys.Rev. E57 (1998) 5023-5029

Physics

High Energy Physics

High Energy Physics - Theory

To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.57.5023

We suggest to take the fluctuation-dissipation theorem of Callen and Welton as a basis to study quantum dissipative phenomena (such as macroscopic quantum tunneling) in a manner analogous to the Nambu-Goldstone theorem for spontaneous symmetry breakdown. It is shown that the essential physical contents of the Caldeira-Leggett model such as the suppression of quantum coherence by Ohmic dissipation are derived from general principles only, namely, the fluctuation-dissipation theorem and unitarity and causality (i.e., dispersion relations), without referring to an explicit form of the Lagrangian. An interesting connection between quantum tunneling with Ohmic dissipation and the Anderson's orthogonality theorem is also noted.

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